Exploring the Basics of Functions

What is the definition of a function?

• A rule that assigns each input multiple outputs.

• A rule that assigns each input exactly one output.

• A rule that assigns each output exactly one input.

• A rule that assigns each output multiple inputs.

Which of the following terms is also known as the domain?

• Output

• Dependent variable

• Range

• Input

In the dishwasher analogy, what is the expected output when dirty dishes are the input?

• Clean dishes

• Fish

• Penguins

• Dirty dishes

What does the vertical line test help determine?

• If a graph is linear

• If a relation is a function

• If a function is increasing

• If a function is decreasing

Which of the following graphs represents a function?

• A graph where a vertical line touches the curve at three points

• A graph where a vertical line touches the curve at one point

• A graph where a vertical line touches the curve at two points

• A graph where a vertical line touches the curve at four points

In an input-output table, what is the term for the numbers you plug in?

• Range

• Domain

• Output

• Dependent variable

If the input is 0 and the function is 'add 3', what is the output?

• 0

• 3

• 9

• 6

What is the output when the input is 2 and the function is 'subtract 2'?

• 2

• 6

• 0

• 4

If the function is 'multiply by -2', what is the output for an input of 3?

• -6

• 6

• 3

• -3

What is the rule for the function if the input is 4 and the output is 2?

• Add 2

• Subtract 2

• Multiply by 2

• Divide by 2